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Real World Linear Equations Worksheet and Activity Answers with pictures @ http://www.mathwarehouse.com/algebra/linear_equation/real-world-application.html
Resources on Linear Equations Slope Intercept Form of a line: http://www.mathwarehouse.com/algebra/linear_equation/slope-interceptform.php
Warm Up What is the slope and y intercept of the line below? Y = 2x + 3 Model Problem 1 A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. A) How much does it cost to ride in this cab for 1 minute? B) For 2 minutes?_______ C) What equation represents the rate of this company? D) Graph the equation that represents the rate of this cab company?
Model Problem 1
ANSWER
A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile.
Equation y = 2x +3
Model Problem 2 A cab company charges a $5 boarding rate in addition to its meter which is $3 for every mile A) What equation represents the rate of this company? B) Graph the equation that represents the rate of this cab company?
Practice Problems Problem 3)A cab company charges a $3 boarding rate in addition to its meter which is $ ½ for every mile
A) What equation represents the rate of this company? B) Graph the equation that represents the rate of this cab company?
Use graph paper for next few equations. (answers to problems at mathwarehouse.com/lines3) Problem 4 ) A cab company charges a $4 boarding rate in addition to its meter which is $ ¾ a dollar for every mile
A) What equation represents the rate of this company? B) Graph the equation that represents the rate of this cab company?
Problem 5 ) A cab company does not charge a boarding fee but then has a meter of $4 an hour.
A) What equation represents the rate of this company? B) Graph the equation that represents the rate of this cab company?
Problem 6 ) A cab charges a $1 boarding rate in addition to its meter which is $ 1/3 of a dollar for every mile A) What equation represents the rate of this company? B) Graph the equation that represents the rate of this cab company?
Bonus Challenge Problem Explain why the graph below would never represent the rate that a cab company charged?
Activity
Cab Company
Task #1) Create a name for your cab company. Task #2) Decide upon a metered fare. This means that your cab company needs to charge a certain amount by the minute/hour or by the mile. Examples $1 for every 2 miles $1 for every 5 minutes Task #3) Decide upon a flat fee, ‘boarding rate’. This is a small charge that gets atomically billed to the customer upon stepping into the cab. Often, the flat fee is about $2. Task #4) Create a graph like the one below for your cab company and make sure that you label your flat fee as well as your rate. Task #5) Create a logo for your company, a slogan and some kind of picture or icon.
Real World Linear Equations Worksheet and Activity Answers with pictures @ http://www.mathwarehouse.com/algebra/linear_equation/real-world-application.html
Resources on Linear Equations Slope Intercept Form of a line: http://www.mathwarehouse.com/algebra/linear_equation/slope-interceptform.php
